164442627020 has 216 divisors, whose sum is σ = 414681670368. Its totient is φ = 54613440000.

The previous prime is 164442627007. The next prime is 164442627059. The reversal of 164442627020 is 20726244461.

164442627020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 273614720 + ... + 273615320.

It is an arithmetic number, because the mean of its divisors is an integer number (1919822548).

Almost surely, 2^164442627020 is an apocalyptic number.

164442627020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164442627020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207340835184).

164442627020 is an abundant number, since it is smaller than the sum of its proper divisors (250239043348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164442627020 is a wasteful number, since it uses less digits than its factorization.

164442627020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 38.

The spelling of 164442627020 in words is "one hundred sixty-four billion, four hundred forty-two million, six hundred twenty-seven thousand, twenty".